Spectral Resolution of the Neumann–Poincaré Operator on Intersecting Disks and Analysis of Plasmon Resonance
Spectral Resolution of the Neumann–Poincaré Operator on Intersecting Disks and Analysis of Plasmon Resonance
复制标题
相交圆盘上诺依曼-庞加莱算子的谱分辨率及等离激元共振分析
DOI：
10.1007/s00205-017-1129-9
复制
发表时间：
2015
影响因子：
2.5
通讯作者：
Sanghyeon Yu
中科院分区：
文献类型：
--
作者：
Hyeonbae Kang;Mikyoung Lim;Sanghyeon Yu
本文研究了具有Lipschitz边界的相交圆盘上Neumann-Poincaré算子的谱性质。导出了该算子的完全谱分解，特别地，它只允许绝对连续谱，不允许奇异连续谱，也不允许纯点谱。然后，我们定量分析使用的等离子体共振在绝对连续的光谱的光谱分辨率。
The purpose of this paper is to investigate the spectral nature of the Neumann–Poincaré operator on the intersecting disks, which is a domain with the Lipschitz boundary. The complete spectral resolution of the operator is derived, which shows, in particular, that it admits only the absolutely continuous spectrum; no singularly continuous spectrum and no pure point spectrum. We then quantitatively analyze using the spectral resolution of the plasmon resonance at the absolutely continuous spectrum.
影响因子：
2.4
作者：
R. Kohn;Jianfeng Lu;B. Schweizer;M. Weinstein
通讯作者：
R. Kohn;Jianfeng Lu;B. Schweizer;M. Weinstein